Some Theory of Sampling When the Stratification is Subject to Error

In this paper, we will present sampling theory pertinent to the following type of sample design. Each one of the B boxes is shaken and classified into one of L strata on the basis of the auditory observation made concerning the quality of the content. A sample of boxes is selected from each stratum, and an accurate observation is made by inspecting the content of each box selected for the sample. The efficiency of thii design will depend upon the accuracy of the auditory observation, and also on the costs involved.